An Easy Adaptive Boundary Mesh for 2D Elastic Problem

1992 ◽  
pp. 184-193 ◽  
Author(s):  
E. Kita ◽  
N. Kamiya
Keyword(s):  
Elastic Problem

scholarly journals Modeling and Analysis of an Elastic Problem with Large Displacements and Small Strains

2007 ◽  
Vol 87 (1) ◽  
pp. 29-72 ◽  
Author(s):  
C. Grandmont ◽  
Y. Maday ◽  
P. Métier
Keyword(s):  
Elastic Problem ◽  
Large Displacements ◽  
Modeling And Analysis ◽  
Small Strains

scholarly journals Research on preload relaxation for composite pre-tightened tooth connections

2019 ◽  
Vol 26 (1) ◽  
pp. 197-208
Author(s):  
Fei Li ◽  
QiLin Zhao ◽  
Haosen Chen ◽  
Sheng Luo
Keyword(s):  
Elastic Problem ◽  
Primary Reason ◽  
Prediction Formula ◽  
Viscoelastic Problem ◽  
Term Experiment ◽  
Viscoelastic State ◽  
Long Term Experiment ◽  
Linear Viscoelastic ◽  
Theoretical Results

AbstractPreload is the primary reason why pre-tightened tooth connections (PTTC) can transfer relatively large loads. However, creep of the composite would cause the preload relaxation, resulting in reducing bearing capacity of the connection. To study the preload relaxation of PTTC caused by the creep of composites, a prediction formula is deduced by converting the viscoelastic problem to an elastic problem using Laplace transform. Meanwhile, long-term experimental research on the preload relaxation of composite pre-tightened tooth connection with different initial preloads and different geometry sizes was made. The theoretical results are compared with experimental data obtained by long-term experiment, and the results indicate that the calculation formula can predict the preload relaxation well in linear viscoelastic state. The preload relaxation mainly occurs at the beginning of loading and it tends to be steady in the middle and later periods.

Multiple Solutions in Euler’s Elastic Problem

2018 ◽  
Vol 79 (7) ◽  
pp. 1191-1206 ◽  
Author(s):  
A. A. Ardentov
Keyword(s):  
Multiple Solutions ◽  
Elastic Problem

On a generalized thermo-elastic problem in an infinite cylinder under initial stress

1987 ◽  
Vol 37 (3) ◽  
pp. 213-223 ◽  
Author(s):  
A. M. Elnagar ◽  
A. M. Abd-Allah
Keyword(s):  
Initial Stress ◽  
Elastic Problem ◽  
Infinite Cylinder

Effect of Stress-Free Edges in Plane Shear of a Rectangular Orthotropic Region

1978 ◽  
Vol 45 (2) ◽  
pp. 307-312 ◽  
Author(s):  
S. Nair
Keyword(s):  
Lower Bounds ◽  
Elastic Problem ◽  
Upper And Lower Bounds ◽  
Tangential Displacement ◽  
Stiffness Coefficient ◽  
Shearing Force ◽  
Plane Shear ◽  
Zero Stresses ◽  
Plane Elastic Problem ◽  
Free Edges

The plane elastic problem of a rectangular orthotropic region is considered; subject to the boundary conditions of prescribed equal and opposite tangential displacements and zero normal displacements on the upper and lower edges and zero stresses on the remaining edges. The effect of the stress-free edges on the stiffness coefficient relating the tangential displacement and the corresponding shearing force is estimated in the form of upper and lower bounds for this coefficient.

scholarly journals Membrane analogy for multi-material bars under torsion

2019 ◽  
Vol 475 (2225) ◽  
pp. 20190124 ◽  
Author(s):  
Laura Galuppi ◽  
Gianni Royer-Carfagni
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Cross Sections ◽  
Three Dimensional ◽  
Element Model ◽  
Elastic Problem ◽  
Two Dimensional ◽  
Torsion Problem ◽  
Linear Elastic ◽  
Physical Apparatus

Prandtl's membrane analogy for the torsion problem of prismatic homogeneous bars is extended to multi-material cross sections. The linear elastic problem is governed by the same equations describing the deformation of an inflated membrane, differently tensioned in regions that correspond to the domains hosting different materials in the bar cross section, in a way proportional to the inverse of the material shear modulus. Multi-connected cross sections correspond to materials with vanishing stiffness inside the holes, implying infinite tension in the corresponding portions of the membrane. To define the interface constrains that allow to apply such a state of prestress to the membrane, a physical apparatus is proposed, which can be numerically modelled with a two-dimensional mesh implementable in commercial finite-element model codes. This approach presents noteworthy advantages with respect to the three-dimensional modelling of the twisted bar.

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